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Simplifying 8t + -21 = 2t + -7 Reorder the terms: -21 + 8t = 2t + -7 Reorder the terms: -21 + 8t = -7 + 2t Solving -21 + 8t = -7 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -21 + 8t + -2t = -7 + 2t + -2t Combine like terms: 8t + -2t = 6t -21 + 6t = -7 + 2t + -2t Combine like terms: 2t + -2t = 0 -21 + 6t = -7 + 0 -21 + 6t = -7 Add '21' to each side of the equation. -21 + 21 + 6t = -7 + 21 Combine like terms: -21 + 21 = 0 0 + 6t = -7 + 21 6t = -7 + 21 Combine like terms: -7 + 21 = 14 6t = 14 Divide each side by '6'. t = 2.333333333 Simplifying t = 2.333333333
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